Question

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 23 gallons of gasoline to travel 713 miles. If the car travels 155 miles, how much gasoline does it need?

Answer 1

Explanation:

We can set up a proportion to solve for the unknown amount of gasoline needed:

distance traveled / amount of gasoline = constant

Let x be the amount of gasoline needed to travel 155 miles. Using the given information, we can set up the following proportion:

713 miles / 23 gallons = 155 miles / x

Simplifying, we get:

x = (155 miles * 23 gallons) / 713 miles

x = 5 gallons (rounded to the nearest gallon)

Therefore, the car needs 5 gallons of gasoline to travel 155 miles.